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Finding the Fourth Proportional to 35,055, 52,582.56 and 10,431

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Solution

The fourth proportional to 35,055, 52,582.56 and 10,431 is: 15,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,055 : 52,582.56 = 10,431 : x
  2. Step 2: Convert to fraction form
    35,055/52,582.56 = 10,431/x
  3. Step 3: Cross multiply
    35,055x = 52,582.56 × 10,431
  4. Step 4: Simplify right side
    35,055x = 548,488,683.36
  5. Step 5: Solve for x
    x = 548,488,683.36/35,055
  6. Step 6: Final answer
    x = 15,646.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.